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The authentication procedure in session initiation protocol (SIP) typically uses HTTP digest authentication, which is vulnerable to many forms of known attacks. This paper proposes a new secure authentication and key agreement mechanism based on certificateless public-key cryptography(SAKA) between two previously unknown parties, which provides stronger security assurances for SIP authentication and media stream, and it is provably secure in the CK security model. Due to using certificateless public key cryptography, SAKA effectively avoids the requirement of a large Public Key Infrastructure and conquers the key escrow problem in previous schemes.